Sebastiano Cultrera di Montesano

Graduate School
Edelsbrunner Group

13 Publications

Mark all

[13]
2025 | Published | Conference Paper | IST-REx-ID: 20006 | OA
L. Ost, S. Cultrera di Montesano, and H. Edelsbrunner, “Banana trees for the persistence in time series experimentally,” in 41st International Symposium on Computational Geometry, Kanazawa, Japan, 2025, vol. 332.
[Published Version] View | Files available | DOI | arXiv
 
[12]
2024 | Submitted | Preprint | IST-REx-ID: 18999 | OA
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic topological data analysis,” arXiv. .
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[11]
2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “The Euclidean MST-ratio for bi-colored lattices,” in 32nd International Symposium on Graph Drawing and Network Visualization, Vienna, Austria, 2024, vol. 320.
[Published Version] View | Files available | DOI | arXiv
 
[10]
2024 | Published | Thesis | IST-REx-ID: 15094 | OA
S. Cultrera di Montesano, “Persistence and Morse theory for discrete geometric structures,” Institute of Science and Technology Austria, 2024.
[Published Version] View | Files available | DOI
 
[9]
2024 | Published | Journal Article | IST-REx-ID: 13182 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Geometric characterization of the persistence of 1D maps,” Journal of Applied and Computational Topology, vol. 8. Springer Nature, pp. 1101–1119, 2024.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[8]
2024 | Published | Journal Article | IST-REx-ID: 15380 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Depth in arrangements: Dehn–Sommerville–Euler relations with applications,” Journal of Applied and Computational Topology, vol. 8. Springer Nature, pp. 557–578, 2024.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[7]
2024 | Published | Conference Paper | IST-REx-ID: 15093 | OA
S. Cultrera di Montesano, H. Edelsbrunner, M. Henzinger, and L. Ost, “Dynamically maintaining the persistent homology of time series,” in Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Alexandria, VA, USA, 2024, pp. 243–295.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[6]
2024 | Draft | Preprint | IST-REx-ID: 15091 | OA
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” arXiv. .
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[5]
2022 | Published | Journal Article | IST-REx-ID: 10773 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics,” Discrete and Computational Geometry, vol. 67. Springer Nature, pp. 811–842, 2022.
[Published Version] View | Files available | DOI | WoS
 
[4]
2022 | Submitted | Journal Article | IST-REx-ID: 11660 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs,” LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[Submitted Version] View | Files available
 
[3]
2022 | Draft | Journal Article | IST-REx-ID: 11658 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Depth in arrangements: Dehn–Sommerville–Euler relations with applications,” Leibniz International Proceedings on Mathematics. Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[Submitted Version] View | Files available
 
[2]
2022 | Draft | Preprint | IST-REx-ID: 15090 | OA
R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “On the size of chromatic Delaunay mosaics,” arXiv. .
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[1]
2021 | Published | Conference Paper | IST-REx-ID: 9604 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Counting cells of order-k voronoi tessellations in ℝ3 with morse theory,” in Leibniz International Proceedings in Informatics, Online, 2021, vol. 189.
[Published Version] View | Files available | DOI
 
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13 Publications

Mark all

[13]
2025 | Published | Conference Paper | IST-REx-ID: 20006 | OA
L. Ost, S. Cultrera di Montesano, and H. Edelsbrunner, “Banana trees for the persistence in time series experimentally,” in 41st International Symposium on Computational Geometry, Kanazawa, Japan, 2025, vol. 332.
[Published Version] View | Files available | DOI | arXiv
 
[12]
2024 | Submitted | Preprint | IST-REx-ID: 18999 | OA
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic topological data analysis,” arXiv. .
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[11]
2024 | Published | Conference Paper | IST-REx-ID: 18556 | OA
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “The Euclidean MST-ratio for bi-colored lattices,” in 32nd International Symposium on Graph Drawing and Network Visualization, Vienna, Austria, 2024, vol. 320.
[Published Version] View | Files available | DOI | arXiv
 
[10]
2024 | Published | Thesis | IST-REx-ID: 15094 | OA
S. Cultrera di Montesano, “Persistence and Morse theory for discrete geometric structures,” Institute of Science and Technology Austria, 2024.
[Published Version] View | Files available | DOI
 
[9]
2024 | Published | Journal Article | IST-REx-ID: 13182 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Geometric characterization of the persistence of 1D maps,” Journal of Applied and Computational Topology, vol. 8. Springer Nature, pp. 1101–1119, 2024.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[8]
2024 | Published | Journal Article | IST-REx-ID: 15380 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Depth in arrangements: Dehn–Sommerville–Euler relations with applications,” Journal of Applied and Computational Topology, vol. 8. Springer Nature, pp. 557–578, 2024.
[Published Version] View | Files available | DOI | PubMed | Europe PMC
 
[7]
2024 | Published | Conference Paper | IST-REx-ID: 15093 | OA
S. Cultrera di Montesano, H. Edelsbrunner, M. Henzinger, and L. Ost, “Dynamically maintaining the persistent homology of time series,” in Proceedings of the 2024 Annual ACM-SIAM Symposium on Discrete Algorithms (SODA), Alexandria, VA, USA, 2024, pp. 243–295.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[6]
2024 | Draft | Preprint | IST-REx-ID: 15091 | OA
S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “Chromatic alpha complexes,” arXiv. .
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[5]
2022 | Published | Journal Article | IST-REx-ID: 10773 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Continuous and discrete radius functions on Voronoi tessellations and Delaunay mosaics,” Discrete and Computational Geometry, vol. 67. Springer Nature, pp. 811–842, 2022.
[Published Version] View | Files available | DOI | WoS
 
[4]
2022 | Submitted | Journal Article | IST-REx-ID: 11660 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “A window to the persistence of 1D maps. I: Geometric characterization of critical point pairs,” LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[Submitted Version] View | Files available
 
[3]
2022 | Draft | Journal Article | IST-REx-ID: 11658 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Depth in arrangements: Dehn–Sommerville–Euler relations with applications,” Leibniz International Proceedings on Mathematics. Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
[Submitted Version] View | Files available
 
[2]
2022 | Draft | Preprint | IST-REx-ID: 15090 | OA
R. Biswas, S. Cultrera di Montesano, O. Draganov, H. Edelsbrunner, and M. Saghafian, “On the size of chromatic Delaunay mosaics,” arXiv. .
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[1]
2021 | Published | Conference Paper | IST-REx-ID: 9604 | OA
R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Counting cells of order-k voronoi tessellations in ℝ3 with morse theory,” in Leibniz International Proceedings in Informatics, Online, 2021, vol. 189.
[Published Version] View | Files available | DOI
 
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